311617188426879 has 12 divisors (see below), whose sum is σ = 464633513927232. Its totient is φ = 201043347372000.

The previous prime is 311617188426781. The next prime is 311617188426883. The reversal of 311617188426879 is 978624881716113.

311617188426879 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 17 + 188 + 426 + 8 + 7 + 9 = 666.

It is not a de Polignac number, because 311617188426879 - 2¹⁹ = 311617187902591 is a prime.

It is a super-2 number, since 2×311617188426879² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311617188426979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558453742422 + ... + 558453742979.

It is an arithmetic number, because the mean of its divisors is an integer number (38719459493936).

Almost surely, 2^{311617188426879} is an apocalyptic number.

311617188426879 is a deficient number, since it is larger than the sum of its proper divisors (153016325500353).

311617188426879 is a wasteful number, since it uses less digits than its factorization.

311617188426879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116907485438 (or 1116907485435 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

The spelling of 311617188426879 in words is "three hundred eleven trillion, six hundred seventeen billion, one hundred eighty-eight million, four hundred twenty-six thousand, eight hundred seventy-nine".